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Ideals of the form $I_{1}(XY)$
Published 9 Sep 2016 in math.AC | (1609.02765v7)
Abstract: In this paper we compute Gr\"obner bases for determinantal ideals of the form $I_{1}(XY)$, where $X$ and $Y$ are both matrices whose entries are indeterminates over a field $K$. We use the Gr\"obner basis structure to determine Betti numbers for such ideals.
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